Pith Number

pith:MOG3JZN4

pith:2011:MOG3JZN42R77E67JRHL5RML5NP

not attested not anchored not stored refs pending

Counting free fermions on a line: a Fisher-Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit

Alexander G. Abanov, Dmitri A. Ivanov, Vadim V. Cheianov

arxiv:1112.2530 v4 · 2011-12-12 · cond-mat.str-el · cond-mat.stat-mech · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOG3JZN42R77E67JRHL5RML5NP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:28:06.356455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638db4e5bcd47ff27be989d7d8b17d6bc744eb0986eeec3893ae1a10a55fc993

Aliases

arxiv: 1112.2530 · arxiv_version: 1112.2530v4 · doi: 10.48550/arxiv.1112.2530 · pith_short_12: MOG3JZN42R77 · pith_short_16: MOG3JZN42R77E67J · pith_short_8: MOG3JZN4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MOG3JZN42R77E67JRHL5RML5NP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 638db4e5bcd47ff27be989d7d8b17d6bc744eb0986eeec3893ae1a10a55fc993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874a0968a36aa041946b82df35e88aea7fa6970517964e584d4b11186f0e8e2f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-12-12T12:37:46Z",
    "title_canon_sha256": "43beebd12857a5c95a28398519e0ae03e1af5b0f288ca45cec59dd3e8e2ab175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2530",
    "kind": "arxiv",
    "version": 4
  }
}